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540065405152 = 257131961160019
BaseRepresentation
bin1111101101111100110…
…10000001100011100000
31220122000002100011202001
413312332122001203200
532322023220431102
61052034055533344
754006216125620
oct7667632014340
91818002304661
10540065405152
11199049929389
128880298a254
133bc0a9205c0
141c1d4378880
15e0ad239487
hex7dbe6818e0

540065405152 has 192 divisors, whose sum is σ = 1400085388800. Its totient is φ = 199087994880.

The previous prime is 540065405081. The next prime is 540065405161. The reversal of 540065405152 is 251504560045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3294999 + ... + 3455017.

It is an arithmetic number, because the mean of its divisors is an integer number (7292111400).

Almost surely, 2540065405152 is an apocalyptic number.

540065405152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540065405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700042694400).

540065405152 is an abundant number, since it is smaller than the sum of its proper divisors (860019983648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540065405152 is a wasteful number, since it uses less digits than its factorization.

540065405152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160129 (or 160121 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

Adding to 540065405152 its reverse (251504560045), we get a palindrome (791569965197).

The spelling of 540065405152 in words is "five hundred forty billion, sixty-five million, four hundred five thousand, one hundred fifty-two".